COMMON FIXED POINT THEOREMS UNDER RATIONAL INEQUALITY IN COMPLEX VALUED METRIC SPACES
By
Rakesh Sarkar¹ , Prosenjit Sen² , Sanjib Kumar Datta³ and Tandra Sarkar⁴
Department of Mathematics
¹Gour Mahavidyalaya, P.O.: Mangalbari, Dist.: Malda, West Bengal, India-732142
²OmDayal Group of Institutions, Dist.: Howrah, West Bengal, India-711316
³University of Kalyani, P.O.: Kalyani, Dist.: Nadia, West Bengal, India-741235
⁴Jadavpur University, 188- Raja S. C. Mallick Road, West Bengal, India-700003
Email: rakeshsarkar.malda@gmail.com, prosenjitsen83@gmail.com, sanjibdatta05@gmail.com, tandrasarkar073@gmail.com
(Received: December 30, 2021; In format: April 19, 2022; Revised: April 01, 2024; Accepted: April 24, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54126
Abstract
In this paper, we have proved some common fixed point theorems for a pair of mappings satisfying certain rational contraction condition in the frame work of complex valued metric space (X, d). We have also taken the ‘max’ function for the partial order - in complex valued metric d.
2020 Mathematical Sciences Classification: 47H09, 47H10, 46N99, 54H25.
Keywords and Phrases: Common fixed point, contractive type mapping, complex valued metric space